## Linear Operators: Spectral theory |

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Page 1831

Doklady Akad.

matria moment problem. Doklady Akad.

Russian) Math. Rev. 11, 670 (1950). On the trace formula in perturbation theory.

Doklady Akad.

**Nauk SSSR**(**N.S.**) 30, 484-488 (1941). Infinite J-matrices and amatria moment problem. Doklady Akad.

**Nauk SSSR**(**N.S.**) 69, 125–128 (1949). (Russian) Math. Rev. 11, 670 (1950). On the trace formula in perturbation theory.

Page 1852

On a class of operations in K-spaces. Doklady Akad.

—230 (1942). 2. On normed K-spaces. Doklady Akad.

14 (1941). Universal K-spaces. Doklady Akad.

) ...

On a class of operations in K-spaces. Doklady Akad.

**Nauk SSSR**(**N.S.**) 36, 227—230 (1942). 2. On normed K-spaces. Doklady Akad.

**Nauk SSSR**(**N.S.**) 33, 12–14 (1941). Universal K-spaces. Doklady Akad.

**Nauk SSSR**(**N.S.**) 49, 8–11 (1945) ...

Page 1864

Banachschen Räumen. Doklady Akad.

. Weak compactness in Banach spaces. Studia Math. 11, 71–94 (1950).

Skorohod, A.

**Nauk SSSR**(**N. S.**) 18, 255–257 (1938). 2. Schwache Kompaktheit in denBanachschen Räumen. Doklady Akad.

**Nauk SSSR**(**N. S.**) 28, 199–202 (1940). 3. Weak compactness in Banach spaces. Studia Math. 11, 71–94 (1950).

Skorohod, A.

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### Contents

SPECTRAL THEORY | 858 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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### Common terms and phrases

additive Akad algebra Amer analytic applied assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complete Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math measure multiplicity neighborhood norm obtained partial positive preceding present problem projection PRoof properties prove range regular remark representation respectively restriction result satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero